Question

What value of x makes this equation true?
2x+9-4x=x-12



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Answer 1

To solve the equation \( 2x + 9 - 4x = x - 12 \), we can start by simplifying both sides.

1. Combine like terms on the left side:
\[
2x - 4x + 9 = x - 12
\]
This simplifies to:
\[
-2x + 9 = x - 12
\]

2. Next, we want to isolate \( x \). We'll first add \( 2x \) to both sides:
\[
9 = x + 2x - 12
\]
This simplifies to:
\[
9 = 3x - 12
\]

3. Now, we add \( 12 \) to both sides to isolate the term with \( x \):
\[
9 + 12 = 3x
\]
This gives us:
\[
21 = 3x
\]

4. Finally, we divide both sides by \( 3 \):
\[
x = \frac{21}{3} = 7
\]

Thus, the value of \( x \) that makes the equation true is \( \boxed{7} \).